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Simplifying 2 + -3(2 + 6z) = 4(z + 1) + -8 2 + (2 * -3 + 6z * -3) = 4(z + 1) + -8 2 + (-6 + -18z) = 4(z + 1) + -8 Combine like terms: 2 + -6 = -4 -4 + -18z = 4(z + 1) + -8 Reorder the terms: -4 + -18z = 4(1 + z) + -8 -4 + -18z = (1 * 4 + z * 4) + -8 -4 + -18z = (4 + 4z) + -8 Reorder the terms: -4 + -18z = 4 + -8 + 4z Combine like terms: 4 + -8 = -4 -4 + -18z = -4 + 4z Add '4' to each side of the equation. -4 + 4 + -18z = -4 + 4 + 4z Combine like terms: -4 + 4 = 0 0 + -18z = -4 + 4 + 4z -18z = -4 + 4 + 4z Combine like terms: -4 + 4 = 0 -18z = 0 + 4z -18z = 4z Solving -18z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -18z + -4z = 4z + -4z Combine like terms: -18z + -4z = -22z -22z = 4z + -4z Combine like terms: 4z + -4z = 0 -22z = 0 Divide each side by '-22'. z = 0 Simplifying z = 0
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